Answer:
-9/5
Step-by-step explanation:
Step 1: Take the LCM in the denominator
6/5-3
multiply the numerator and denominator by 5 to make the denominator 5.
<u>6</u>-<u>3</u> (x5)
5 1 (x5)
=<u>6-15</u>
5
= <u>-9</u>
5
!!
The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)
The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)
Answer: The system of inequalities would produce the region indicated on the graph is Option B
Answer:
y = 8x + 50
Step-by-step explanation:
Use (0,50) and (10,130)
Slope: m = (130-50)/(10-0) = 8
Y-intercept is 50
y = 8x + 50
Answer:
384
Step-by-step explanation:
multiply all those numbers together
Answer: width is 12, length is 16
Step-by-step explanation:
A= l*w
l=w+4
A=w(w+4)
factor
(w+16)(w-12)
w= -16 or w=12
width is 12, length is 16
